The Theory of Nilpotent Groups

Nonfiction, Science & Nature, Mathematics, Group Theory, Algebra
Cover of the book The Theory of Nilpotent Groups by Marcos Zyman, Stephen Majewicz, Anthony E. Clement, Springer International Publishing
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Author: Marcos Zyman, Stephen Majewicz, Anthony E. Clement ISBN: 9783319662138
Publisher: Springer International Publishing Publication: November 18, 2017
Imprint: Birkhäuser Language: English
Author: Marcos Zyman, Stephen Majewicz, Anthony E. Clement
ISBN: 9783319662138
Publisher: Springer International Publishing
Publication: November 18, 2017
Imprint: Birkhäuser
Language: English

This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic.  While the theorems and proofs included can be found throughout the existing literature, this is the first book to collect them in a single volume.  Details omitted from the original sources, along with additional computations and explanations, have been added to foster a stronger understanding of the theory of nilpotent groups and the techniques commonly used to study them.  Topics discussed include collection processes, normal forms and embeddings, isolators, extraction of roots, P-localization, dimension subgroups and Lie algebras, decision problems, and nilpotent groups of automorphisms.  Requiring only a strong undergraduate or beginning graduate background in algebra, graduate students and researchers in mathematics will find The Theory of Nilpotent Groups to be a valuable resource.

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This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic.  While the theorems and proofs included can be found throughout the existing literature, this is the first book to collect them in a single volume.  Details omitted from the original sources, along with additional computations and explanations, have been added to foster a stronger understanding of the theory of nilpotent groups and the techniques commonly used to study them.  Topics discussed include collection processes, normal forms and embeddings, isolators, extraction of roots, P-localization, dimension subgroups and Lie algebras, decision problems, and nilpotent groups of automorphisms.  Requiring only a strong undergraduate or beginning graduate background in algebra, graduate students and researchers in mathematics will find The Theory of Nilpotent Groups to be a valuable resource.

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